Practice Infinite Limits (6) - Limits - IB 10 Mathematics

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Evaluate the limit: lim as x approaches 2 of (1/(x-2))
Show hintHide hint
Consider how the function behaves as x approaches 2 from both sides.
Question 2.
What does it mean if the limit of a function at a certain point is +∞?
Show hintHide hint
Think about the graph of the function near that point.
3Question 3.
What does it mean when a limit approaches +∞?
- The function approaches a numerical value
- The function approaches infinity
- The function approaches zero
Show hintHide hint
Visualize a graph that goes upwards.
4Question 4.
True or False: A vertical asymptote indicates that the limit of the function approaches a real number.
- True
- False
Show hintHide hint
Consider the definition of vertical asymptotes.
Question 5.
Consider the function f(x) = (x² - 1)/(x - 1). Determine the limit as x approaches 1, including any infinite behaviors.
Show hintHide hint
What do you get after factoring?
Question 6.
Evaluate whether the limit of f(x) = 2/x as x approaches 0 exists and explain your reasoning.
Show hintHide hint
Consider the behavior of the graph near x = 0.

4 more questions in this section. Enroll free to practise them all.